{"id":"https://openalex.org/W2953312118","doi":"https://doi.org/10.1137/18m1197655","title":"Round Compression for Parallel Matching Algorithms","display_name":"Round Compression for Parallel Matching Algorithms","publication_year":2019,"publication_date":"2019-11-05","ids":{"openalex":"https://openalex.org/W2953312118","doi":"https://doi.org/10.1137/18m1197655","mag":"2953312118"},"language":"en","primary_location":{"id":"doi:10.1137/18m1197655","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1197655","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1707.03478","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051815913","display_name":"Artur Czumaj","orcid":"https://orcid.org/0000-0002-7743-438X"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Artur Czumaj","raw_affiliation_strings":["#N#        University of Warwick, UK"],"affiliations":[{"raw_affiliation_string":"#N#        University of Warwick, UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044510135","display_name":"Jakub \u0141\u0105cki","orcid":"https://orcid.org/0000-0001-9347-0041"},"institutions":[{"id":"https://openalex.org/I1291425158","display_name":"Google (United States)","ror":"https://ror.org/00njsd438","country_code":"US","type":"company","lineage":["https://openalex.org/I1291425158","https://openalex.org/I4210128969"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jakub \u0141a\u0327cki","raw_affiliation_strings":["Google Research  USA"],"affiliations":[{"raw_affiliation_string":"Google Research  USA","institution_ids":["https://openalex.org/I1291425158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032574693","display_name":"Aleksander M\u0105dry","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aleksander Ma\u0327dry","raw_affiliation_strings":["Massachusetts Institute of Technology , USA"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology , USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021154381","display_name":"Slobodan Mitrovi\u0107","orcid":"https://orcid.org/0000-0002-8571-0970"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Slobodan Mitrovi\u0107","raw_affiliation_strings":["EPFL (Switzerland)"],"affiliations":[{"raw_affiliation_string":"EPFL (Switzerland)","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040763434","display_name":"Krzysztof Onak","orcid":"https://orcid.org/0000-0003-0226-7449"},"institutions":[{"id":"https://openalex.org/I4210156936","display_name":"IBM Research - Austin","ror":"https://ror.org/05gjbbg60","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210156936"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Krzysztof Onak","raw_affiliation_strings":["IBM Research (USA)"],"affiliations":[{"raw_affiliation_string":"IBM Research (USA)","institution_ids":["https://openalex.org/I4210156936"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025494465","display_name":"Piotr Sankowski","orcid":"https://orcid.org/0000-0002-0907-3754"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Piotr Sankowski","raw_affiliation_strings":["University of Warsaw - Poland"],"affiliations":[{"raw_affiliation_string":"University of Warsaw - Poland","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5051815913"],"corresponding_institution_ids":["https://openalex.org/I39555362"],"apc_list":null,"apc_paid":null,"fwci":0.1996,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.5356492,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"49","issue":"5","first_page":"STOC18","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10772","display_name":"Distributed systems and fault tolerance","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7406793236732483},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7307988405227661},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.689287006855011},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5239769816398621},{"id":"https://openalex.org/keywords/model-of-computation","display_name":"Model of computation","score":0.5034429430961609},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5019702911376953},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4807695746421814},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.44672122597694397},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4423108994960785},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4268868565559387},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.41944196820259094},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41734498739242554},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.4104726314544678},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18603745102882385}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7406793236732483},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7307988405227661},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.689287006855011},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5239769816398621},{"id":"https://openalex.org/C184596265","wikidata":"https://www.wikidata.org/wiki/Q2651576","display_name":"Model of computation","level":3,"score":0.5034429430961609},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5019702911376953},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4807695746421814},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.44672122597694397},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4423108994960785},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4268868565559387},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.41944196820259094},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41734498739242554},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.4104726314544678},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18603745102882385},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1137/18m1197655","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1197655","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:wrap.warwick.ac.uk:116769","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:1707.03478","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.03478","pdf_url":"https://arxiv.org/pdf/1707.03478","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2953312118","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1707.03478.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:dspace.mit.edu:1721.1/133650","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/133650","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM","raw_type":"http://purl.org/eprint/type/JournalArticle"},{"id":"pmh:oai:dspace.mit.edu:1721.1/137790","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/137790","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv","raw_type":"http://purl.org/eprint/type/ConferencePaper"},{"id":"doi:10.48550/arxiv.1707.03478","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1707.03478","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1707.03478","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.03478","pdf_url":"https://arxiv.org/pdf/1707.03478","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3046054759","display_name":null,"funder_award_id":"EP/N011163/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1964089073","https://openalex.org/W1964932074","https://openalex.org/W1980155175","https://openalex.org/W1998137177","https://openalex.org/W2011595776","https://openalex.org/W2073975876","https://openalex.org/W2074629498","https://openalex.org/W2100061495","https://openalex.org/W2100830825","https://openalex.org/W2107600509","https://openalex.org/W2149565746","https://openalex.org/W2173213060","https://openalex.org/W2261727491","https://openalex.org/W2275325805","https://openalex.org/W2295466155","https://openalex.org/W2546514055","https://openalex.org/W2569455249","https://openalex.org/W2619776170","https://openalex.org/W2755229948","https://openalex.org/W2767578875","https://openalex.org/W2951254008","https://openalex.org/W2951457415","https://openalex.org/W2951652158","https://openalex.org/W2951758761","https://openalex.org/W2952870688","https://openalex.org/W2953046187","https://openalex.org/W4233756358","https://openalex.org/W4239429564"],"related_works":["https://openalex.org/W2734687249","https://openalex.org/W3093384812","https://openalex.org/W2788211078","https://openalex.org/W3116608374","https://openalex.org/W3040981273","https://openalex.org/W2746574808","https://openalex.org/W3046730691","https://openalex.org/W2112837099","https://openalex.org/W1578168283","https://openalex.org/W2556863009","https://openalex.org/W1731888520","https://openalex.org/W2004350101","https://openalex.org/W3195400408","https://openalex.org/W3163867720","https://openalex.org/W886683925","https://openalex.org/W2287117379","https://openalex.org/W2296210868","https://openalex.org/W2010951658","https://openalex.org/W2949072558","https://openalex.org/W2795587979"],"abstract_inverted_index":{"For":[0],"over":[1],"a":[2,117,159,183,288],"decade":[3],"now":[4],"we":[5,78,191,246,254,283],"have":[6],"been":[7],"witnessing":[8],"the":[9,27,33,43,52,94,100,111,125,132,169,173,193,210,216,228,232,238,256,265],"success":[10,31],"of":[11,26,45,99,128,162,212,237,267],"{\\em":[12,95,268,280],"massive":[13],"parallel":[14,87],"computation}":[15],"(MPC)":[16],"frameworks,":[17],"such":[18],"as":[19,166,168],"MapReduce,":[20],"Hadoop,":[21],"Dryad,":[22],"or":[23,56],"Spark.":[24],"One":[25],"reasons":[28],"for":[29,62,293],"their":[30],"is":[32,75,93,106,135,198,279],"fact":[34],"that":[35,70,109,144,202,249],"these":[36,59],"frameworks":[37,60],"are":[38,284],"able":[39,285],"to":[40,51,83,179,234,286,290],"accurately":[41],"capture":[42],"nature":[44],"large-scale":[46],"computation.":[47,66],"In":[48,243,274],"particular,":[49],"compared":[50],"classic":[53,102],"distributed":[54],"algorithms":[55],"PRAM":[57,112,229],"models,":[58],"allow":[61],"much":[63],"more":[64],"local":[65,240],"The":[67],"fundamental":[68,184],"question":[69],"arises":[71],"in":[72,110,121,131,158,172,182,203,208,227,264,298],"this":[73,80,129,151,204,244],"context":[74],"though:":[76],"can":[77,115,153,224],"leverage":[79],"additional":[81],"power":[82],"obtain":[84],"even":[85,263],"faster":[86],"algorithms?":[88],"A":[89],"prominent":[90],"example":[91],"here":[92,278],"maximum":[96,119,291],"matching}":[97],"problem---one":[98],"most":[101],"graph":[103,214],"problems.":[104],"It":[105,197],"well":[107,167],"known":[108],"model":[113],"one":[114,223],"compute":[116],"2-approximate":[118],"matching":[120],"$O(\\log{n})$":[122,188],"rounds.":[123,163,302],"However,":[124],"exact":[126],"complexity":[127,220,261],"problem":[130,152],"MPC":[133,218],"framework":[134],"still":[136],"far":[137],"from":[138],"understood.":[139],"Lattanzi":[140],"et":[141],"al.":[142],"showed":[143],"if":[145],"each":[146],"machine":[147],"has":[148],"$n^{1+\u03a9(1)}$":[149],"memory,":[150],"also":[154],"be":[155],"solved":[156],"$2$-approximately":[157],"constant":[160,296],"number":[161],"These":[164],"techniques,":[165],"approaches":[170],"developed":[171],"follow":[174],"up":[175],"work,":[176],"seem":[177],"though":[178],"get":[180,226],"stuck":[181],"way":[185],"at":[186],"roughly":[187],"rounds":[189],"once":[190],"enter":[192],"near-linear":[194],"memory":[195,271],"regime.":[196],"thus":[199],"entirely":[200],"possible":[201],"regime,":[205],"which":[206],"captures":[207],"particular":[209],"case":[211,266],"sparse":[213],"computations,":[215],"best":[217],"round":[219,260],"matches":[221],"what":[222],"already":[225],"model,":[230],"without":[231],"need":[233],"take":[235],"advantage":[236],"extra":[239],"computation":[241],"power.":[242],"paper,":[245],"finally":[247],"refute":[248],"perplexing":[250],"possibility.":[251],"That":[252],"is,":[253],"break":[255],"above":[257],"$O(\\log":[258],"n)$":[259],"bound":[262],"slightly":[269],"sublinear}":[270],"per":[272],"machine.":[273],"fact,":[275],"our":[276],"improvement":[277],"almost":[281],"exponential}:":[282],"deliver":[287],"$(2+\u03b5)$-approximation":[289],"matching,":[292],"any":[294],"fixed":[295],"$\u03b5&gt;0$,":[297],"$O((\\log":[299],"\\log":[300],"n)^2)$":[301]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
